Question

The present age of a father is five times that of his son. If 10 years hence,the age of father will be 3 times the age of son at that time. Find the age of the son.

Answer 1

Dear student,


Let sons’s present age be ′x' years.

Then, father’s present age =5x

After 10 years, sons age =x+10 and father’s age =5x+10



According to the given condition,

5x+10=3(x+10)

⇒5x+10=3x+30


⇒5x−3x=30−10

⇒2x=20

=> x= 20/2 = 10

So sons present age=10

Now fathers age

⇒5x=5×10=50



Regards